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Finding the Fourth Proportional to 8,041.28, 12,072.24 and 6,193.67

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Solution

The fourth proportional to 8,041.28, 12,072.24 and 6,193.67 is: 9,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.28 : 12,072.24 = 6,193.67 : x
  2. Step 2: Convert to fraction form
    8,041.28/12,072.24 = 6,193.67/x
  3. Step 3: Cross multiply
    8,041.28x = 12,072.24 × 6,193.67
  4. Step 4: Simplify right side
    8,041.28x = 74,771,410.36
  5. Step 5: Solve for x
    x = 74,771,410.36/8,041.28
  6. Step 6: Final answer
    x = 9,298.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.